Pith Number

pith:U4BQADRZ

pith:2016:U4BQADRZZBPZPBXDKFUVNQJMXO

not attested not anchored not stored refs pending

Lecture notes on 2-dimensional defect TQFT

Nils Carqueville

arxiv:1607.05747 v2 · 2016-07-19 · math.QA · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4BQADRZZBPZPBXDKFUVNQJMXO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Topological defects in reflection positive topological field theories

Receipt and verification

First computed	2026-07-05T01:16:36.618063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a703000e39c85f9786e3516956c12cbb8d0183fd27271be0b26969ca83ce1d43

Aliases

arxiv: 1607.05747 · arxiv_version: 1607.05747v2 · doi: 10.48550/arxiv.1607.05747 · pith_short_12: U4BQADRZZBPZ · pith_short_16: U4BQADRZZBPZPBXD · pith_short_8: U4BQADRZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U4BQADRZZBPZPBXDKFUVNQJMXO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a703000e39c85f9786e3516956c12cbb8d0183fd27271be0b26969ca83ce1d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a705b9088235c57051b7cd0d9730132601f47aa9deda05075cc1285b453202",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-07-19T20:17:36Z",
    "title_canon_sha256": "f0bc2086b22e877d2074b7d0f55b9f1e8a213307d989236dd34ca5bc785c1218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05747",
    "kind": "arxiv",
    "version": 2
  }
}